What is the ruling on giving out the names of anime that contain music, with a request to lower the volume and not listen to the music?

The question is unclear, but generally, if things are permissible in Islamic law, there is no harm in guiding to them. However, if they include forbidden elements like music, then it is not permissible to guide to them, as that would be aiding in sin. Nevertheless, if it is strongly presumed that the beneficiary will refrain from the forbidden (e.g., music), then there is no harm in guiding to them, accompanied by advice and admonition.